For each given functions, find the slope of the tangent at a given point using first principle definition. a. y=x^(3)+8  (-2,0) b.y=2x^(2)-(5)/(x+2)  (0,-5/2) c. y=\sqrt(x)  at x=9

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question

For each given functions, find the slope of the tangent at a given point using first principle definition.

a. y=x^(3)+8  (-2,0)

b.y=2x^(2)-(5)/(x+2)  (0,-5/2)

c. y=\sqrt(x)  at x=9

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